 | John Playfair - 1829 - 210 sider
...greaterthan the third, namely, A and B greater than C; A and C greater than B; and B and C greater than A. It is required to make a triangle, of which...to A, B, C, each to each. Take a straight line DE unlimited toward D and E, and let F be any point in it; make DF equal to A (3. 1.), FG to B, and GH... | |
 | John Playfair - 1832 - 358 sider
...ofivhich the sides shall be equal to three given straight lines; but any ttvo whatever of these lines must be greater than the third (20. 1.) Let A, B,...the sides shall be equal to A, B, C, each to each. AB C Take a straight line DE, terminated at the point D, but unlimited towards E, and make (3. 1.)... | |
 | Thomas Perronet Thompson - 1833 - 168 sider
...third • (for if they are not, it has been •I. 20. Cor. shown* that they cannot form a triangle). It is required to make a triangle, of which the sides shall be equal to A, B, C, respectively. 1 1. 3. In a straight line DE, maket FG equal to any one of the straight lines as A ;... | |
 | 1833 - 412 sider
...dreams). MATHEMATICS. 1. From a given point to draw a straight line equal to a given straight line. 2. To make a triangle of which the sides shall be equal to three given straight lines, any two of these being greater than the third. 3. In a right angled triangle... | |
 | John Playfair - 1835 - 336 sider
...to three given straight lines -, but any two whatever of these lines must be greater than the third. Let A, B, C be the three given straight lines, of...at the point D, but unlimited towards E, and make (Prob. 3.) DF equal to A, FG to B, and GH equal to C ; and from the centre F, at the distance FD, describe... | |
 | Euclid - 1835 - 540 sider
...BDC greater than the angle BAC. Therefore, " if from the ends of," &c. QED PROP. XXII. PROB. s«e N. To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of f 20. i. these must be greater than the third1.... | |
 | John Playfair - 1837 - 332 sider
...whatever are greater than the third, viz. A and B greater than C ; A and C greater than B ; and B and G than A. It is required to make a triangle of which...the sides shall be equal to A, B, C, each to each. the centre F, at the distance YD, describe (3. Post.) the circle DKL ; and from the centre G, at the... | |
 | Euclid, James Thomson - 1837 - 410 sider
...the third. Let A, B, C be three given straight lines, of which any two are greater than the third : it is required to make a triangle of which the sides shall be equal to A, B, C, each to each. Take an unlimited straight line DE, and let F be a point in it, and make (I. 3.) FG equal to A, FH to B,... | |
 | Andrew Bell - 1837 - 290 sider
...the angle CEB ; still greater, then, is the angle BDC than the angle BAC. PROPOSITION XXII. PROBLEM. To make a triangle of which the sides shall be equal to three given straight lines ; but any two whatever of these lines must be greater than the third (1.... | |
 | Euclides - 1838 - 264 sider
...greater than the third, viz. A and B greater than C ; A and C greater than B ; and B and C greater than A. It is required to make a triangle of which...sides shall be equal to A, B, C, each to each. Take d straight line DE terminated at the point D, but unlimited towards E, and „_ make* DF equal to A,... | |
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Let A, B, C be the three given straight lines, of which any two whatever are greater than the third, viz. 
